| LF拓扑空间的Es-紧性 |
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| 引用本文： | 安艳,刘博瑞,江伟.LF拓扑空间的Es-紧性[J].数学的实践与认识,2021(4):235-239. |
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| 作者姓名： | 安艳 刘博瑞 江伟 |
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| 作者单位： | 塔里木大学信息工程学院 |
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| 摘 要： | 利用α-E_(s)远域族在LF拓扑空间中引进了E_(s)-紧性的概念,得到了E_(s)-紧空间.此外,给出了E_(s)-紧空间的3种等价刻画,证明了E_(s)-紧性是L-好的推广,讨论了E_(s)-紧性的一些基本性质,如:E_(s)闭遗传性和弱E_(s)同胚不变性.
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| 关 键 词： | LF拓扑空间 α-Es远域族 Es-紧空间 r-Es覆盖 r-有限交性质 |
On the E-Compactness in LF Topological Spaces |
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| AN Yan,LIU Bo-rui,JIANG Wei.On the E-Compactness in LF Topological Spaces[J].Mathematics in Practice and Theory,2021(4):235-239. |
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| Authors: | AN Yan LIU Bo-rui JIANG Wei |
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| Institution: | (School of Information Engineering,Tarim University,Alaer 843300,China) |
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| Abstract: | In this paper,the concept of Es-compactness is introduced into in LF topological spaces by usingα-Esremote neighborhoods family,which results in Es-compact spaces.Besides,three kinds of equivalent characterizations of Es-compact spaces are described,with Es-compactness proved to be L-good generalization.What’s more,some basic properties of Es-compact spaces are also discussed in this paper,such as Esclosed heredity and weak Eshomeomorphic invariant property. |
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| Keywords: | LF topological spaces α-Es remote neighborhoods family Es-compact spaces r-Es cover r-finite intersection property |
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